NEW YORK (CBS) Pete Doherty, the rock singer known for his relationship with Kate Moss, has been arrested on suspicion of supplying the drugs that killed society heiress Robin Whitehead.

Whitehead had been working on a documentary about Doherty's drug-addicted lifestyle and his relationship with supermodel Kate Moss, said the Daily Mail.

The 27-year-old Whitehead died of a suspected overdose on January 24. Her body was found by paramedics in an East London flat rented by Doherty's close friend Pete Wolfe. The website said Whitehead had developed a close friendship with Doherty and was a "superfan."

Wolfe was arrested on suspicion of perverting the course of justice, says the Daily Mail.

Doherty had visited the flat the day before Whitehead died and the day after. He allegedly had traveled to his home between visits.

Wolfe, 21, claimed he and Whitehead only drank tea before she died, no illegal substances, said the newspaper. Later on, Wolfe claimed she consumed alcohol and Valium and choked on her own vomit.

In 2006, a photograph surfaced of Doherty allegedly injecting a young girl with a syringe, but police could not prove it was illegal drugs. The singer insisted he was drawing blood.

Whitehead was known as the granddaughter of Teddy Goldsmith, found of The Ecologist magazine and the daughter of Peter Whitehead and Dido Goldsmith.

The Daily Mail said Doherty is shocked and saddened by her death.

Doherty, Wolfe and two others have been arrested in connection to her death. All four have received bail.